Search a number
-
+
319374473913 = 33113832807663
BaseRepresentation
bin1001010010111000011…
…00111011101010111001
31010112100202102021112000
410221130030323222321
520213034331131123
6402415115211213
732034253144125
oct4513414735271
91115322367460
10319374473913
1111349a623310
1251a91a46b09
1324169a41161
141165a318585
158493568b43
hex4a5c33bab9

319374473913 has 32 divisors (see below), whose sum is σ = 517508628480. Its totient is φ = 193054839120.

The previous prime is 319374473879. The next prime is 319374473923.

319374473913 is a `hidden beast` number, since 3 + 1 + 93 + 74 + 473 + 9 + 13 = 666.

319374473913 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 319374473913 - 26 = 319374473849 is a prime.

It is a super-3 number, since 3×3193744739133 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 319374473913.

It is not an unprimeable number, because it can be changed into a prime (319374473923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290081 + ... + 1517582.

It is an arithmetic number, because the mean of its divisors is an integer number (16172144640).

Almost surely, 2319374473913 is an apocalyptic number.

319374473913 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

319374473913 is a deficient number, since it is larger than the sum of its proper divisors (198134154567).

319374473913 is a wasteful number, since it uses less digits than its factorization.

319374473913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808066 (or 2808060 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The spelling of 319374473913 in words is "three hundred nineteen billion, three hundred seventy-four million, four hundred seventy-three thousand, nine hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 383 1149 3447 4213 10341 12639 37917 113751 2807663 8422989 25268967 30884293 75806901 92652879 277958637 833875911 1075334929 3226004787 9678014361 11828684219 29034043083 35486052657 106458157971 319374473913